#include <bits/stdc++.h>
using namespace std;
#define FOR(i,a,b) for(int i = a; i <= b; i++)
#define FOD(i,a,b) for(int i = a; i >= b; i--)
//#define int long long
#define fi first
#define se second
#define pb push_back
#define ll long long
#define ull unsigned long long
#define db double
#define lcm(a,b) a / __gcd(a, b) * b
#define ii pair<int,int>
#define iii pair<int,pair<int,int>>
#define iv pair<pair<int,int>,pair<int,int>>
#define sq(a) (a) * (a)
#define MASK(i) (1LL << i)
#define task "task"
const int inf = 1e9;
const ll INF = 1e18;
const int mod = 1e9 + 7;
const int N = 1e5 + 5;
const int M = 2e5 + 5;
int n, m;
struct Adj1 {
int v, c, p;
};
vector<Adj1> tg[N];
struct Adj2 {
int v;
ll w1, w2;
int c;
};
vector<Adj2> g[N];
ll sum[M];
struct State {
ll cost;
int u, c;
bool operator < (const State &other) const {return cost > other.cost;}
};
priority_queue<State> pq;
map<int, ll> d[N];
void Solve() {
FOR(i, 1, n) {
for(Adj1 H : tg[i]) sum[H.c] += H.p;
for(Adj1 H : tg[i]) g[i].pb({H.v, sum[H.c] - H.p, H.p, H.c});
for(Adj1 H : tg[i]) sum[H.c] = 0;
}
pq.push({0, 1, 0});
d[1][0] = 0;
while(!pq.empty()) {
ll cost = pq.top().cost;
int u = pq.top().u;
int c = pq.top().c;
pq.pop();
if(cost != d[u][c]) continue;
if(c == 0) {
for(auto H : g[u]) {
int v = H.v;
ll w1 = H.w1;
ll w2 = H.w2;
int new_c = H.c;
/// doi mau phan con lai
if(d[v].count(0) == 0 || d[v][0] > cost + w1) {
d[v][0] = cost + w1;
pq.push({d[v][0], v, 0});
}
if(d[v].count(0) == 0 || d[v][0] > cost + w2) {
d[v][0] = cost + w2;
pq.push({d[v][0], v, 0});
}
/// doi mau i
if(d[v].count(new_c) == 0 || d[v][new_c] > cost) {
d[v][new_c] = cost;
pq.push({d[v][new_c], v, new_c});
}
}
}
else {
for(auto H : g[u]) {
int v = H.v;
ll w1 = H.w1;
ll w2 = H.w2;
int new_c = H.c;
if(new_c == c && (d[v].count(0) == 0 || d[v][0] > cost + w1)) {
d[v][0] = cost + w1;
pq.push({d[v][0], v, 0});
}
}
}
}
cout << (d[n].count(0) ? d[n][0] : -1) << '\n';
}
signed main() {
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
// freopen(task".out", "w", stdout);
}
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int test = 1;
// cin >> test;
while(test--) {
cin >> n >> m;
FOR(i, 1, m) {
int u, v, c, p;
cin >> u >> v >> c >> p;
tg[u].pb({v, c, p});
tg[v].pb({u, c, p});
}
Solve();
}
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:102:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
102 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
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